Boundary conditions between panels in depth-averaged flow models revisited

Knight, Donald W.; Omran, Mazen; Abril, Juan Carlos

doi:10.1201/b16998-49

Cited by 21 publications

(14 citation statements)

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“…However, when the flow depth is discontinuous at the interfaces of main channel and its corresponding floodplains the boundary condition must be reconsidered. Knight et al [16] and Tang and Knight [39] discussed the boundary conditions for the Shiono and Knight Method [31] (hereafter referred as SKM) and discovered that improved results were obtained by using the continuity of depth-averaged shear stress at the interfaces of main channel and floodplain. Furthermore, the turbulent transfer is also an important phenomenon in compound channels and based on mathematical integration, Castanedo et al [4] identified three different forms of the turbulent diffusion term in the depth-averaged Navier-Stokes equation.…”

Section: Introductionmentioning

confidence: 99%

An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels

Wright

Liu

Yang

2014

Advances in Water Resources

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Section: Introductionmentioning

confidence: 99%

An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels

Wright

Liu

Yang

2014

Advances in Water Resources

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“…For a more detailed discussion of boundary conditions, and cases where the channel is sub-divided into many panels or sub-areas, with varying f, k and C values, see Knight et al [13], McGahey et al [14] and Abril and Knight [8]. The simplest case is considered here in order to illustrate the method for obtaining the analytic H vs Q relationship and to keep the algebra as simple as possible.…”

Section: Determination Of the Constants Of A 1 A 2 A 3 And A 4 Inmentioning

confidence: 98%

“…and A 1 , A 2 are coefficients (m 2 s À2 ) that are determined by considering the relevant boundary conditions [13]. For a sub-area with a side slope of 1: s (vertical: horizontal) and a variable depth, n, as shown in Fig.…”

Section: Basic Mathematical Formulationmentioning

confidence: 99%

Analytic stage–discharge formulae for flow in straight trapezoidal open channels

Liao

Knight

2007

Advances in Water Resources

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“…Knight et al [15] pointed out that the continuity of ∂U d /∂y, previously used by most researchers [4,12,13] , was only appropriate for certain cases, notably where f and λ are the same in the two adjoining domains.…”

Section: A Non-vegetated Domain With Linearly Varyingmentioning

confidence: 98%

Lateral distributions of streamwise velocity in compound channels with partially vegetated floodplains

Tang

Knight

2009

Sci. China Ser. E-Technol. Sci.

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Natural rivers are commonly characterized by a main channel for primary flow conveyance and a floodplain, often partially covered with vegetation such as shrubs or trees, to carry extra flow during floods. The hydraulic resistance due to vegetation on the floodplain typically causes a further reduction of flow velocity and increases the velocity difference between the main channel and the floodplain. As a consequence a strong lateral shear layer leads to the exchange of mass and momentum between the main channel and floodplain, which in turn affects the overall channel conveyance and certain fluvial processes. The prediction of the lateral velocity distribution is important for many flood alleviation schemes, as well as for studies on sediment transport and dispersion in such channels. The present paper proposes a method for predicting the depth-averaged velocity in compound channels with partially vegetated floodplains, based on an analytical solution to the depth-integrated Reynolds-Averaged Navier-Stokes equation with a term included to account for the effects of vegetation. The vegetation is modelled via an additional term in the momentumequation to account for the additional drag force. The method includes the effects of bed friction, drag force, lateral turbulence and secondary flows, via four coefficients f, C D , λ & Γ respectively. The predicted lateral distributions of depth-averaged velocity agree well with the experimental data. The analytical solutions can also be used to predict the distribution of boundary shear stresses, which adds additional weight to the method proposed. vegetation, compound channel, floodplain, velocity

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Boundary conditions between panels in depth-averaged flow models revisited

Cited by 21 publications

References 0 publications

An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels

An analytical model for lateral depth-averaged velocity distributions along a meander in curved compound channels

Analytic stage–discharge formulae for flow in straight trapezoidal open channels

Lateral distributions of streamwise velocity in compound channels with partially vegetated floodplains

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